Question

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.

4log x + 2log y

Answer 1

First you need to move the 4 and the 2 and show them as exponents of x and y. Can you show me that?

Answer 2

so x^4 and y^2

Answer 3

yes, correct,
now use the property that \(\Large \log A+\log B = \log AB\)

so, whats,
\(\Large \log x^4+\log y^2 = ... ?\)

Answer 4

logx^4y^2?

Answer 5

Exactly.

Answer 6

yes, correct :)